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Finding the Fourth Proportional to 826.44, 1,140.39 and 477.15

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Solution

The fourth proportional to 826.44, 1,140.39 and 477.15 is: 658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.44 : 1,140.39 = 477.15 : x
  2. Step 2: Convert to fraction form
    826.44/1,140.39 = 477.15/x
  3. Step 3: Cross multiply
    826.44x = 1,140.39 × 477.15
  4. Step 4: Simplify right side
    826.44x = 544,137.09
  5. Step 5: Solve for x
    x = 544,137.09/826.44
  6. Step 6: Final answer
    x = 658.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.